Analyzing Polynomials

f(x)=(x+4)(x-3)(x-2)

List the zeros for this function.

• x= -4, x=3, x= -2

• x= -4, x=3, x=2

• x= -4, x=-3, x=2

• x=4, x= -3, x= -2

Tags

CCSS.HSF-IF.C.7C

Identify the zeros:

• x=-2, x=-1, x=0
• x=-2, x=0
• x=-1, x=0, x=2
• x=-2, x=0, x=1

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.D.11

Which is TRUE about the polynomial function?

• The function has an Even degree

• The function has a Negative coefficient

• The function has an Odd degree

• The function has 3 real zeros

Which is TRUE about the polynomial function?

• Positive LC Odd degree

• Positive LC Even degree

• Negative LC Odd degree

• Negative LC Even degree

Over the interval (−1, 2), the graph of the polynomial shown could be described as

• decreasing
• increasing
• quadratic
• complex

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Determine the y-intercept 
f(x) = x³ - 5x² - 25x + 125

• (0,0)
• (0,25)
• (0,125)
• (0,5)

Tags

CCSS.HSF-IF.C.7C

Describe the end behavior of the graph of the function.
 $h\left(x\right)=-2x^3+5x^2+4x^5-3x^4+12x-4$  

• As x→+∞ , h(x)→+∞ ; and as x→-∞ , h(x)→-∞

• As x→+∞ , h(x)→-∞ ; and as x→-∞ , h(x)→+∞

• As x→+∞ , h(x)→+∞ ; and as x→-∞ , h(x)→+∞

• As x→+∞ , h(x)→-∞ ; and as x→-∞ , h(x)→-∞

Identify the points where the local maximum(s) and local minimum(s) occur.

• (-2.26, 0.407) is a local minimum; (-0.0738, -10.036) is a local maximum

• (-2.26, 0.407) is a local maximum; (-0.0738, -10.036) is a local minimum

• (1, 0) is a local maximum; (0, -10) is a local minimum

• no local maximum; (0, -10) is an absolute minimum

What is the relative max?

• (0, 36)
• (-2.55, -6.55), (2.55, -6.55)
• (-∞, ∞)
• None

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.C.7

CCSS.HSA.REI.D.10

In the polynomial graph shown,

−4 is a(an)_______.

• maximum

• minimum

• Zero

• Vertex